{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:DKOH7RS3FTIPR3PVJBY7XQAHC6","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"cd8604b9115d0895188675c5055c7843bd12551b5a07a4eea54f522d0f653e90","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-12-03T13:28:36Z","title_canon_sha256":"30510d563a5073d777065df1b0334e31281c586b30a8f5284a791971675d814f"},"schema_version":"1.0","source":{"id":"1112.0652","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.0652","created_at":"2026-05-18T01:59:17Z"},{"alias_kind":"arxiv_version","alias_value":"1112.0652v3","created_at":"2026-05-18T01:59:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.0652","created_at":"2026-05-18T01:59:17Z"},{"alias_kind":"pith_short_12","alias_value":"DKOH7RS3FTIP","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"DKOH7RS3FTIPR3PV","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"DKOH7RS3","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:f7babfed95fc2c6fdb1a77783e3fc7bbfe9bc643611b34df6b1e4127c4b4b26c","target":"graph","created_at":"2026-05-18T01:59:17Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"By direct calculations of matrix form of super Jacobi and mixed super Jacobi identities which are obtained from adjoint representation, and using the automorphism supergroup of the gl(1|1) Lie superalgebra, we determine and classify all gl(1|1) Lie superbialgebras. Then, by calculating their classical r-matrices, the gl(1j1) coboundary Lie superbialgebras and their types (triangular, quasi-triangular or factorizable) are determined, furthermore in this way super Poisson structures on the GL(1|1) Lie supergroup are obtained. Also, we classify Drinfeld superdoubles based on the gl(1|1) as a theo","authors_text":"A. Eghbali, A. Rezaei-Aghdam","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-12-03T13:28:36Z","title":"The gl(1|1) Lie superbialgebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.0652","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c3104ab650b4d77b5ff708a4d9ae5e4224bef50162480f77a1995995e4c93044","target":"record","created_at":"2026-05-18T01:59:17Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"cd8604b9115d0895188675c5055c7843bd12551b5a07a4eea54f522d0f653e90","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-12-03T13:28:36Z","title_canon_sha256":"30510d563a5073d777065df1b0334e31281c586b30a8f5284a791971675d814f"},"schema_version":"1.0","source":{"id":"1112.0652","kind":"arxiv","version":3}},"canonical_sha256":"1a9c7fc65b2cd0f8edf54871fbc00717b3cb9eafde5c7a5fbb7288204810cae3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a9c7fc65b2cd0f8edf54871fbc00717b3cb9eafde5c7a5fbb7288204810cae3","first_computed_at":"2026-05-18T01:59:17.497085Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:17.497085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rikzIegTy3gmEAezzR3i/QFyTvJMSYl5ZMVhrgxVig/mJ9Ryorf9m8S3aNlso3UBEzipETt3T/Ferd8zAqIuCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:17.497771Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.0652","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3104ab650b4d77b5ff708a4d9ae5e4224bef50162480f77a1995995e4c93044","sha256:f7babfed95fc2c6fdb1a77783e3fc7bbfe9bc643611b34df6b1e4127c4b4b26c"],"state_sha256":"e6b7dc8895a1a5874b4bc1812ec98c2b694c2fde30a40a542a27e7ab5ca4d71f"}